Least Common Multiple of 4031 and 4038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4031 and 4038 the smallest integer that is 16277178 that is divisible by both numbers.

Least Common Multiple (LCM) of 4031 and 4038 is 16277178.

LCM(4031,4038) = 16277178

LCM of 4031 and 4038

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4031 and 4038

LCM of 4031 and 4038 is 16277178

Least common multiple can be found by multiplying the highest exponent prime factors of 4031 and 4038. First we will calculate the prime factors of 4031 and 4038.

Prime Factorization of 4031


29 4031
139 139
1

Prime factors of 4031 are 29,139. Prime factorization of 4031 in exponential form is:

4031 = 291×1391

Prime Factorization of 4038


2 4038
3 2019
673 673
1

Prime factors of 4038 are 2, 3,673. Prime factorization of 4038 in exponential form is:

4038 = 21×31×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 4031 and 4038.

LCM(4031,4038) = 21×31×291×1391×6731
LCM(4031,4038) = 16277178

Factors of 4031

List of positive integer factors of 4031 that divides 4031 without a remainder.

1, 29, 139, 4031

Factors of 4038

List of positive integer factors of 4038 that divides 4038 without a remainder.

1, 2, 3, 6, 673, 1346, 2019, 4038

Least Common Multiple of 4031 and 4038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4031 and 4038, than apply into the LCM equation.

GCF(4031,4038) = 1
LCM(4031,4038) = ( 4031 × 4038) / 1
LCM(4031,4038) = 16277178 / 1
LCM(4031,4038) = 16277178

Properties of LCM 4031 and 4038

(i) The LCM of 4038 and 4031 is associative

LCM of 4031 and 4038 = LCM of 4038 and 4031

Related Least Common Multiples of 4031

Related Least Common Multiples of 4038

Frequently Asked Questions on LCM of 4031 and 4038

1. What is the LCM of 4031 and 4038?

Answer: LCM of 4031 and 4038 is 16277178.

2. What are the Factors of 4031?

Answer: Factors of 4031 are 1, 29, 139, 4031. There are 4 integers that are factors of 4031. The greatest factor of 4031 is 4031.

3. What are the Factors of 4038?

Answer: Factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038. There are 8 integers that are factors of 4038. The greatest factor of 4038 is 4038.

4. How to Find the LCM of 4031 and 4038?

Answer:

Least Common Multiple of 4031 and 4038 = 16277178

Step 1: Find the prime factorization of 4031

4031 = 29 x 139

Step 2: Find the prime factorization of 4038

4038 = 2 x 3 x 673

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16277178 = 2 x 3 x 29 x 139 x 673

Step 4: Therefore, the least common multiple of 4031 and 4038 is 16277178.